Answer:
a 270° rotation about point P
Step-by-step explanation:
Because after transformation MK and M'K 'are at 90°, that implies that MK is rotated as 90 ° clockwise around P or 270 ° counterclockwise around P.
Therefore the transformation composition that maps 
to 
K"L"M",
So, for this composition, the first transformation is 270° is the 270° rotation i.e to be counterclockwise about point P.
While the transformation of the second would be down translation that goes to the right.
hence, the last option is correct
Answer:
Yes, A KLP can be reflected across the line containing KP and then translated so that Pis mapped to M.
Step-by-step explanation:
The figure shows two congruent by HA theorem (they have congruent hypotenuses and a pair of congruent angles adjacent to the hypotenuses) triangles KLP and QNM.
A rigid transformation is a transformation which preserves lengths. Reflection, rotation and translation are rigit transformations.
If you reflect triangle KLP across the leg KP and translate it up so that point P coincides with point M , then the image of triangle KLP after these transformations will be triangle QNM.
Answer:
No
Step-by-step explanation:
Because, the Pythagorean Inequality Theorem states that the two smallest angles should add up to be more than the third angle.
4+6=10
11 is bigger than 10, still.
Therefore, no the triangle is not possible.
Answer:
C. a higher monthly payment.
Step-by-step explanation:
<h3>Answer options:</h3>
Rate adjustment resulted in
<u>A. a lower interest rate.
</u>
- No, interest rate increased from 0.4 to 0.5 percent
<u>B. a higher principal.
</u>
- No, principal decreased from $200000 to $187000
<u>C. a higher monthly payment.
</u>
- Yes, monthly payment increased from $1059.85 to $1162.56
<u>D. a higher number of payments.</u>
- No, number of payments remained as 336
Answer:
8 < x < 34
Step-by-step explanation:
ab = 13, ac = 21, bc = x
The longest side of a triangle must be less than the sum of the other two sides.
If 21 is the longest side:
21 < 13 + x
8 < x
If x is the longest side:
x < 13 + 21
x < 34
Therefore, 8 < x < 34.
